101105041000 has 128 divisors (see below), whose sum is σ = 238915591200. Its totient is φ = 40045363200.

The previous prime is 101105040983. The next prime is 101105041003. The reversal of 101105041000 is 140501101.

It can be written as a sum of positive squares in 16 ways, for example, as 15382084 + 101089658916 = 3922^2 + 317946^2 .

It is a super-2 number, since 2×101105041000² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101105041003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77952352 + ... + 77953648.

Almost surely, 2^101105041000 is an apocalyptic number.

101105041000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101105041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119457795600).

101105041000 is an abundant number, since it is smaller than the sum of its proper divisors (137810550200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101105041000 is a wasteful number, since it uses less digits than its factorization.

101105041000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024 (or 2010 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 13.

Adding to 101105041000 its reverse (140501101), we get a palindrome (101245542101).

The spelling of 101105041000 in words is "one hundred one billion, one hundred five million, forty-one thousand".